Find the order of a modulo 7 for a = 1, 2, 3, 4, 5, 6.

Q: O store associate at TRU wants to create a stu O 6 multichoose 29 O 29 to the power of 6 O 29! O…

A: Given, a bookstore associate at TRU wants to create a student bundle of 6 textbooks from among 29…

Q: Find the identity element for the operation * on N defined by a *b=a+b+2, Va,beN al al a 240 does…

A: Let e be the identity element. Hence, it can be written that a*e=a .

Q: Prove that if a = b (modn) and m/n, then a = b (modm).

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Q: Find the term indep of I in the expansion of 7 文(古一警」 3 S ping to 'TE "ittle tr week

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Q: if a equiv b (mod n) , then a⁴ equiv b⁴ (mod n) for any positive integer 4.

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Q: Then where a11 = " a12 = , = a13 | Q21 = . A = A=1 = 1 1 1 7 0 7 2 -66 111 121 | C31 , a = 112 113…

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Q: Find the order of 5 modulo 2^100.

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Q: Find all Pnterers x such that 5x=12 (mat) LoxE 4 (mad) 7x=16 (modlo) and 1o00s x3000

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Q: Give a definition of an inverse of a number a modulo m.

A: if the two integer a and m modulo then  let x is an integer value so the x is inverse of an only if…

Q: 37x = 101 (mod 151)

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Q: Let n be a positive integer, and a an integer Prove that if the order of a modulon is n-1 then n is…

A: The given problem is to prove that n is prime from the given problem given a modulo n is set of…

Q: What is the largest value that m mod n can be?

A: Largest value of m mod n is n-1.

Q: Three cards are chosen without replacement from a deck of 52 cards and placed in order from first to…

A: In the deck of 52 cards, there are total 4 6's. (One for each of hearts, diamonds, spades and clubs)…

Q: Find the least residue of  -5 -46 modulo 14.

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Q: 137 mod |

A: The answer is : 7137 (mod 11) = 6  The detailed solution is as follows below:

Q: Find 1112 mod 13.

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Q: Identify if the given statement is true or false: I. If a is an integer, the (a^2 is congruent to 0…

A: Given some statements. Check whether these statements are true or false.

Q: man is んis now times old 十en Yoan as Son in 7he Sum their tof old will be ages the 76 how whin was…

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Q: Question* How many ways can the letters of the word "PREVIOUS" be arranged if "PRE" must be next to…

A: We have to arrange the letters of "PREVIOUS" under the given condition.

Q: Find  mod (40, 7) and div (40, 7).   mod(40, 7)=? div(40, 7)=?

A: 1) mod(40,7)  is the remainder when 40 is divided by 7we know that 7×5 =35  and 7×6=42as 7×6=42 is…

Q: a and b are positive integers, show that gcd(a,b) = gcd(a,a+b).  Discrete math questio

A: To prove that gcd(a, b) = gcd(a, a + b) for positive integers a and b, you can use the properties of…

Q: This

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Q: x² + x = 13(mod17) X= * (mod17)

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Q: n+1 n+3 n+ム ニ

A: To find the value of above infinite series first we will check the convergence of given series using…

Q: ne order of the element 16+ in Z24/ is None of the choices 8.

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Q: What is the inverse of 16 modulo 43 i.e. which number a has the property that 16*a has the remainder…

A: From question we have to find the inverse of 16 modulo 43. i.e  16*a mod(43)=1 It can also be…

Q: One of the striking properties of Fibonacci numbers is that gcd(Fm, Fn) = Fd, (*) where d = gcd (m,…

A: 1. We see,        F9 = 34    [Fibonacci series : 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89,. . . . . ]…

Q: Find all integer values of x for which 3x = 4 (mod 8).

A: given congruence equation 3x≡4(mod 8)

Q: Motorcycle license plates in the state of California start with two digits(0–9), followed by one…

A: There are a total of 6 digits and one letter on the license plate and repetition is not allowed.…

Q: Prove that a1 + a2 = b₁ + b₂ mod n.

A: We have to prove that a1+a2=b1+b2 (mod n).Given:a1≡b1 (mod n)a2≡b2 (mod n)This means there exist…

Q: Find the order of 4 modulo 49.

A: We have to find the order of 4 in the group of multiplication modulo 49. The order of 4 is the…

Q: Ha = b (mod n) and gcd (a,n)= d, then gcd (b,n) %3D

A: Given a≡b(mod n). This can be written as a-b≡0(mod n). Implies a-b=kn for some natural number k.…

Q: Write down the elemtns in (d) and (e)

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Q: Show that y = x (mod p) leads to -y = -x (mod p).

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Q: Find the order of 4 modulo 49.

A: Evaluate order of 4 modulo 49.

Q: If 3x = 6 mod 9, when -2 <x< 8. Then O x=(-1, 3, 5} x=(-1, 2, 5} O x=(-1, 2, 3} O x=(-1, 5, 6}

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Q: Determine the number of permutations (arrangements) possible of 7 things taken 3 at a time.

A: We have to determine the number of possible permutations of 7 things taken  at a time.So,

Q: Select each expression that has a sum of 4 4/12 3 1/5 + 1 3/7 1 11/12 + 2 1/4 1 3/6 + 1 1/2 + 1…

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